65459789321472 has 1728 divisors, whose sum is σ = 244899325440000. Its totient is φ = 16882634096640.

The previous prime is 65459789321461. The next prime is 65459789321477. The reversal of 65459789321472 is 27412398795456.

65459789321472 is a `hidden beast` number, since 6 + 5 + 4 + 59 + 7 + 89 + 3 + 21 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×65459789321472² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 65459789321472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65459789321477) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 131181942279 + ... + 131181942777.

Almost surely, 2^{65459789321472} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65459789321472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122449662720000).

65459789321472 is an abundant number, since it is smaller than the sum of its proper divisors (179439536118528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65459789321472 is a wasteful number, since it uses less digits than its factorization.

65459789321472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 848 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 65459789321472 in words is "sixty-five trillion, four hundred fifty-nine billion, seven hundred eighty-nine million, three hundred twenty-one thousand, four hundred seventy-two".